195795072 has 96 divisors (see below), whose sum is σ = 614680560. Its totient is φ = 59328000.

The previous prime is 195795071. The next prime is 195795077. The reversal of 195795072 is 270597591.

195795072 is a `hidden beast` number, since 1 + 9 + 579 + 5 + 0 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (195795071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4947 + ... + 20397.

Almost surely, 2^195795072 is an apocalyptic number.

195795072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 195795072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307340280).

195795072 is an abundant number, since it is smaller than the sum of its proper divisors (418885488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

195795072 is a wasteful number, since it uses less digits than its factorization.

195795072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15482 (or 15467 counting only the distinct ones).

The product of its (nonzero) digits is 198450, while the sum is 45.

The square root of 195795072 is about 13992.6792287967. The cubic root of 195795072 is about 580.6760566978.

The spelling of 195795072 in words is "one hundred ninety-five million, seven hundred ninety-five thousand, seventy-two".